Universal logic : an anthology : from Paul Hertz to Dov Gabbay
著者
書誌事項
Universal logic : an anthology : from Paul Hertz to Dov Gabbay
(Studies in universal logic)
Birkhäuser, c2012
- : pbk
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注記
Includes bibliographic references
内容説明・目次
内容説明
A collection of papers from Paul Hertz to Dov Gabbay - through Tarski, Goedel, Kripke - giving a general perspective about logical systems. These papers discuss questions such as the relativity and nature of logic, present tools such as consequence operators and combinations of logics, prove theorems such as translations between logics, investigate the domain of validity and application of fundamental results such as compactness and completeness. Each of these papers is presented by a specialist explaining its context, import and influence.
目次
1. Paul Hertz (1922), "UEber Axiomensysteme fur beliebige Satzsysteme, Teil. 1" presented by Javier Legris // 2. Paul Bernays (1926), "Axiomatische Untersuchung des Aussagenkalkuls des Principia Mathematica" presented by Walter Carnielli // 3. Alfred Tarski (1928), "Remarques sur les notions fondamentales de la methodologie des mathematiques", presented by Stan Surma and Jan Zygmunt // 4. Kurt Goedel (1933), "Eine Interpretation des intuitionistischen Aussagenkalkuls" presented by presented by Itala D'Ottavianao and Hercules Feitosa// 5. Louis Rougier (1941), "The relativity of logic" presented by Mathieu Marion // 6. Haskell B. Curry (1952), Lecons de logique algebrique (Translation of extracts) presented by Johnatan Seldin // 7. Jerzy Los and Ronam Suszko (1958), "Remarks on sentential logics" presented by Jan Zygmunt // 8. Saul Kripke (1963), "Semantical Considerations on Modal Logic" presented by Johan van Benthem // 9. Jean Porte (1965), Recherches sur la theorie generale des systemes formels et sur les systemes connectifs (Translation of extracts) presented by Marcel Guillaume // 10. Per Lindstroem (1969), " On extensions of elementary logic " presented by Jouko Vaananen // 11. Stephen L.Bloom, Donald J.Brown et Roman Suszko (1970), "Some theorems on abstract logics" presented by Ramon Jansana // 12. Dana Scott (1974), "Completeness and axiomatizability in many-valued logic" presented by Lloyd Humberstone // 13. Joseph Goguen and Rod Burstall (1984), "Introducing institutions" presented by Razvan Diaconescu // 14. Andrea Loparic and Newton da Costa (1984), "Paraconsistency, paracompleteness and valuations" presented by Jean-Yves Beziau // 15. Dov Gabbay, "Fibred Semantics and the Weaving of Logics, Part 1: Modal and Intuitionistic logic" (extracts) presented by Amilcar Sernadas and Carlos Caleiro
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